5/16/2018 Single objective Approach for robust Multiobjective Approach for robust design 圈上声大学 design 国上清大学 certainties into account Search for Pareto front based on two objectives- mean (localdoe) performance objective function- mhismance onpeene mnconpeak,enecmve vane,worse case e Summary 圆上清发大坐 MDO plays a key role in delivering improved product design Integrated design and optimization requires rar etric opti grid computing Efficient solutions to problems with multiple objectives,multi- constraint,and high dimensional are the key for improvement in -Performance -Cost rrn entin ong 85/16/2018 8 Modified objective taking uncertainties into account Feffective = mean (localdoe)   0.001   0.005 Single objective Approach for robust design 43 Search for Pareto front based on two objectives - • performance objective function – peak, effective value, worse-case etc • robustness – variance, gradient, etc Multiobjective Approach for robust design 44 © Shanghai Jiao Tong University – Dr. Wenbin Song School of Aeronautics and Astronautics Summary • MDO plays a key role in delivering improved product design • Integrated design and optimization requires – Flexible parametric geometry modelling – Advanced optimization methods/strategies – HPC and grid computing • Efficient solutions to problems with multiple objectives, multi￾constraint, and high dimensional are the key for improvement in – Performance – Cost 45